Atkin-Lehner |
2- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120cb |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-6688094412800000 = -1 · 216 · 55 · 175 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 1 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,46559,-743359] |
[a1,a2,a3,a4,a6] |
Generators |
[43:1156:1] |
Generators of the group modulo torsion |
j |
170312053494236/102052221875 |
j-invariant |
L |
3.3300782504487 |
L(r)(E,1)/r! |
Ω |
0.24563891059409 |
Real period |
R |
1.3556802861278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998932927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120s1 31280g1 |
Quadratic twists by: -4 8 |